Functional analysis and transforms

This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes.

A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.

This work contributes to the study of quaternionic linear operators.

This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions.

Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis.

The concept of conditional specification is not new.

This book presents the probabilistic methods around Hardy martingales for applications to complex, harmonic, and functional analysis.

Trying to make mathematics understandable to the general public is a very difficult task.

One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball.

A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.

This book looks at the theories of Volterra integral and functional equations.

This monograph offers the first systematic account of (metric) regularity theory in variational analysis.

Today many important directions of research are being pursued more or less independently of each other.

This proceedings volume contains peer-reviewed, selected papers and surveys presented at the conference Spectral Theory and Mathematical Physics (STMP) 2018 which was held in Santiago, Chile, at the Pontifical Catholic University of Chile in December 2018.

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.

Overview Historically, the concept of "e;ondelettes"e; or "e;wavelets"e; originated from the study of time-frequency signal analysis, wave propagation, and sampling theory.

This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.

The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993.

First posed by Hermann Weyl in 1910, the limit-point/limit-circle problem has inspired, over the last century, several new developments in the asymptotic analysis of nonlinear differential equations.

Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties.

This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics.

"e;Beyond Wavelets"e; presents state-of-the-art theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis.

A superb text on the fundamentals of Lebesgue measure and integration.

This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation.

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems.

The book discusses basic concepts of functional analysis, measure and integration theory, calculus of variations and duality and its applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductivity, shape optimization models, dual variational formulations for micro-magnetism and others.

This book collects papers based on the XXXVI Bialowieza Workshop on Geometric Methods in Physics, 2017.

This text is intended for an honors calculus course or for an introduction to analysis.

Stochastic Processes: General Theory starts with the fundamental existence theorem of Kolmogorov, together with several of its extensions to stochastic processes.

A clear explanation of what an explosive Markov chain does after it passes through all available states in finite time.

This volume originated in talks given in Cortona at the conference "e;Geometric aspects of harmonic analysis"e; held in honor of the 70th birthday of Fulvio Ricci.

This book is directed towards graduate students that wish to start from the basic theory of C*-algebras and advance to an overview of some of the most spectacular results concerning the structure of nuclear C*-algebras.

Approaches Banach space theory using methods from homological algebra, with concrete examples and proofs of many new and classical results.

This volume convenes selected, peer-reviewed papers presented at the international workshop dedicated to Dr.

The focus of this monograph is the study of rings and modules which have a rich supply of direct summands with respect to various extensions.

Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades.

The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course.

"e;Hypernumbers and Extrafunctions"e; presents a rigorous mathematical approach to operate with infinite values.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics.

A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.

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This multidisciplinary volume is the second in the STEAM-H series to feature invited contributions on mathematical applications in naval engineering.

This book gives an elementary introduction to a classical area of mathemat- ics - approximation theory - in a way that naturally leads to the modern field of wavelets.

This book addresses the analysis of functions of a real variable and transitions from the standard calculus sequence to mathematical analysis.

The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation.

Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group.